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Finding the Fourth Proportional to 1,809.86, 2,708.62 and 1,517.69

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Solution

The fourth proportional to 1,809.86, 2,708.62 and 1,517.69 is: 2,271.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,809.86 : 2,708.62 = 1,517.69 : x
  2. Step 2: Convert to fraction form
    1,809.86/2,708.62 = 1,517.69/x
  3. Step 3: Cross multiply
    1,809.86x = 2,708.62 × 1,517.69
  4. Step 4: Simplify right side
    1,809.86x = 4,110,845.49
  5. Step 5: Solve for x
    x = 4,110,845.49/1,809.86
  6. Step 6: Final answer
    x = 2,271.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.